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Local mixing on abelian covers of hyperbolic surfaces with cusps
Published 16 Dec 2017 in math.DS and math.NT | (1712.06030v2)
Abstract: We prove the local mixing theorem for geodesic flows on abelian covers finite volume hyperbolic surfaces with cusps, which is a continuation of the work of Oh-Pan. We also describe applications to counting problems and the prime geodesic theorem.
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